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diamong [38]
3 years ago
5

Domain and range of f(x)=√(2x-3)/x^2-5x+4

Mathematics
1 answer:
marshall27 [118]3 years ago
5 0

Answer:

<em>Domain:</em>  [ 3/ 2 , ∞ )  ,  { x  ∣ x  ≥  3 /2 }

<em>Range:</em>  { x | }

Step-by-step explanation:

To find the domain, find where the function is defined. The range is just the set of values that correspond with the domain.

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Answer:

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Step-by-step explanation:

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3 years ago
The average weight of the class of 35 students was 45 KG. with the admission of a new student the average weight came down to 44
melamori03 [73]

The weight of the new student is 27 kg.

Average weight

= total weight ÷total number of students

<h3>1) Define variables</h3>

Let the total weight of the 35 students be y kg and the weight of the new student be x kg.

<h3>2) Find the total weight of the 35 students</h3>

<u>45 =  \frac{y}{35}</u>

y= 35(45)

y= 1575 kg

<h3>3) Write an expression for average weight of students after the addition of the new student</h3>

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= 35 +1

= 36

Total weight

= total weight of 35 students +weight of new students

= y +x

44.5  =  \frac{y + x}{36}

<h3>4) Substitute the value of y</h3>

44.5 =  \frac{1575 + x}{36}

<h3>5) Solve for x</h3>

36(44.5)= 1575 +x

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<em>Subtract 1575 from both sides:</em>

x= 1602 -1575

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